If A and B together can do a piece of work in 5 days and A alone can do the same work in 10 days the...........

Quantitative Aptitude (MTS) Time and work

If A and B together can do a piece of work in 5 days, and A alone can do the same work in 10 days, then in how many days can B

alone do the piece of work?

This questions was previously asked in

SSC MTS 22nd July 2022 Shift-2

10 days

11 days

12 days

13 days

- A and B together finish the work in 5 days, which means they do \(\frac{1}{5}\) of the work per day.

- A alone completes the work in 10 days, so A does \(\frac{1}{10}\) of the work per day.

- To find B's work rate alone, subtract A's rate from the combined rate: \(\frac{1}{5} - \frac{1}{10} = \frac{1}{10}\).

- This means B also completes \(\frac{1}{10}\) of the work per day.

- Therefore, B alone can complete the work in 10 days.

- Option 1: 10 days

- Option 2: 11 days

- Option 3: 12 days

- Option 4: 13 days

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